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PROSIDING 20 15©
Volume 9 : Desember 2015
Group Teknik Elektro
HASIL PENELITIAN TEKNOLOGI TERAPAN
ISBN : 978-979-127255-0-6
DYNAMIC AND STEADY STATE SIMULATION OF DOUBLY FED
INDUCTION GENERATOR (DFIG) ON VARIABLE SPEED
CONSTANT FREQUENCY (VSCF) POWER GENERATION
JUDUL, 14 pt
1 spasi, BOLD
14 pt, 1 spasi (1x enter)
Tajuddin Waris & B. M. Diah
Jurusan Teknik Elektro Fakultas Teknik Universitas Hasanuddin
Jl. Perintis Kemerdekaan Km. 10 Tamalanrea - Makassar, 90245
Telp./Fax: (0411) 588111
e-mail: [email protected]
10 pt 1 spasi
Tanpa titik
diakhir baris
10 pt, italic
Bold: italic
10 pt, Bold
10 pt, 2 spasi (2x enter)
Bold center
Abstract
This research deals with mathematical modeling and simulation of doubly fed induction
generator (DFIG) on Variable Speed Constant Frequency Power Generation. In the system
under consideration, the stator is directly connected to the constant frequency three phase
grids and the rotor is supplied by two back-to-back
three phase voltage source inverters with
Indentation Abstrak
a common dc link. Such a configurationLeft
is attractive
: 1.3 cm in large power applications with
limited speed range of operation. The rotor
currents
Right:
1.4 cmare controlled at any desired phase,
frequency and magnitude to control the active and reactive powers of the machine
independently. A mathematical modeling of DFIG is presented in stator flux oriented model
of the doubly-fed wound rotor induction machine is presented. Simulation is presented both
in transient and steady state.
Tanpa titik di akhir
Keywords: variable speed, power generation, DFIG
baris
10 pt, 3 spasi (3X enter)
SUB JUDUL, 11 pt, BOLD, tidak dinomori
INTRODUCTION
11 pt 1 spasi
There is an increased attention towards doubly fed induction generator controlled from the rotor side for
variable speed constant frequency (VSCF) applications. DFIG or wound rotor induction generator has, as the
name implies, a rotor containing 3-phase winding. These windings are made accessible to the outside controller
via slip rings. The main advantages of DFIG for VSCF applications are: (Waris, Tajuddin.,and C. Nayar., 2007)
10 pt 1 spasi



Easier generator torque control using rotor current control.
Smaller generator capacity as the generated power can be accessed from the stator as well as from the rotor.
Usually the rotor power is proportional to the slip speed (shaft speed-synchronous speed).
Smaller capacity for the power electronics, rated at 20-30% of the nominal generator power.
10 pt 1 spasi
The possibility of accessing the rotor in a doubly fed induction generator enables a number of control
configurations possible. These include slip power recovery using a cyclo-converter, which converts ac voltage
of one frequency to another without an intermediate dc link or back to back converter configurations. Fig. 1
shows the application of DFIG on variable diesel Generator using PWM back to back converter.
10 pt 1 spasi
WRIG
Diesel
Engine
End/Grid
Side
Inverter
Rotor
Side
Inverter
Speed
Controller
Ukuran gambar diproporsionalkan,
dan
tampak jelas setelah di print,
Load
ukuran font dalam gambar lebih kecil
atau sama dengan 10pt
,
Electronic
Controller
Bold
Capitalist Each Word,
TANPA titik di akhir
kalimat
,
Figure 1. Variable Power Generation with Doubly Fed Induction Generator using
Back to Back PWM Converter
10 pt 1 spasi
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mana pada halaman judul
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With a PWM converter connected in the rotor circuit, the rotor currents can be controlled in a desired phase,
frequency and magnitude. This enables reversible flow of active power in the rotor and the system would be
operated in sub-synchronous and super-synchronous speed. The dc link capacitor acts as a source of reactive
power and it is possible to supply the magnetizing current, partially or fully, from the rotor side. Therefore the
stator side power factor can also be controlled. Using vector control techniques, the active and reactive powers
can be controlled independently and hence fast dynamic performance can be achieved
10 pt 1 spasi
The converter used at the grid interface is termed as the line-side converter or the Grid Side Converter (GSC)
and operates at the grid frequency. Flow of active and reactive powers is controlled by adjusting the phase and
amplitude of the inverter terminal voltage respect to the grid voltage. Active power can be either injected or
absorbed to the rotor circuit depending on the mode of operation. In which, the dc bus voltage is regulated
within a small band. Control of reactive power enables unity power factor operation at the grid interface. In
fact, the GSC can be operated at a leading and lagging power factor. Due to the slip range is limited as a
consequence the dc bus voltage is less in comparison with the stator voltage. Therefore, a transformer is
necessary to match the voltage levels between the grid and the dc side of the GSC. (Waris,Tajuddin., and C.
Nayar., 2008)
10 pt 2 spasi
10 pt, BOLD
MATHEMATIC MODELING OF DFIG
11 pt, 1 spasi
The stator and rotor winding of DFIG can be assumed as two balanced three-phase windings coupled with each
other. In which, Clark transformation may be applied for simplification by reducing a coupled balanced of
three-phase winding into an uncoupled two-phase winding. By doing so, the machine equations can be
expressed with respect to a reference frame rotating with the synchronous speed. (Richard,G., 2005)
For transforming stator equation to field coordinate, both stator - rotor voltages and current have to be priory
transformed from their natural reference frames. It means, the stator current and voltage components are
referred to a stationary reference frame, while the rotor current and rotor voltage are referred to rotor reference
frame (Liu Xu, Yi Wang, 2007). Relationship coordinate system and angle determination is presented in Fig.2
10 pt 1 spasi
r
Vs
s
s
d axis
Rotor axis
r
q axis
2
1
r
Stator axis
s
Figure 2. Phasor Diagram of Stator Flux Orientation
10 pt 2 spasi
The general mathematical model of symmetrical induction machine may be applied to generate the
mathematical model of DFIG. Single line diagram of DFIG is presented in Fig. 3.
s Lm
Rs
r Lm
i r e -j
is
Us
Rr
es Lm
ere -j
-j 
Ure
Figure 3. Single Line Diagram of DFIG
Based on Fig 3, the vectorial stator and rotor voltage equation in stator reference can be generated as given in
equation 1-2.
Diisi sesuai Jurusan masing-masing:
ISBN : 978-979-127255-0-6
Group Teknik Elektro
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Volume 6 : Desember 2012
PROSIDING 20 15©
Volume 9 : Desember 2015
Left Indent
0,95
Group Teknik Elektro
HASIL PENELITIAN TEKNOLOGI TERAPAN
ISBN : 978-979-127255-0-6
_
_
_
d is
d _
j 
R s i s  Ls
 Lm  i r e
  u s t 
dt
dt 



d 
d 
 i r e j
R s i s  1   s L m
i s  Lm
dt
dt 
_
d ir
Gunakan font dan Style
_
Standar Equation Editor- R i r  L
r
r
nya MS.word
dt
(1)
 _
  u s t 


no persamaan
rata kanan
d  _  j  _
 Lm  i s e
  u r t 
dt 



d 
d 
 i s e  j
R s i s  1   s Lm
i r  Lm
dt
dt 
(2)
 _
  u s t 


Then, the stator voltage equation (1) and the rotor voltage equation (2) are used for designing the grid side
converter (GSC) and the rotor side converter (RSC) respectively. By assuming that rotor side is a controllable
current source with current injecting capability at appropriate phase, frequency and magnitude to the machine.
So, these rotor currents are transformed to the stator reference frame using
transformed as presented in Fig.4.
s Lm = Ls
Rs
is
Ukuran Font
MASIH KELIRU
(terlalu besar)
operator. Thus, Fig.3 could be
im
es
Us
ir=irej
s
Lm
Figure 4. Equivalent Circuit of DFIG with Rotor as Controllable Current Sources
Font 10
2 spasi
The, stator voltage equation (1) can be re-written as follows.

_
Rs i s  1   s Lm  u s t 
Left Indent
0,95
(3)
(4)
Where,
is magnetizing current which is responsible generating stator flux.
Left indent
(5)
MASIH KELIRU
(harusnya 0,95)
Because the control parameter is in rotor currents quantity, thus equation (3) needs to be formed as the rotor
currents and magnetizing currents quantity. It can be realized by using equation (5), results in.
Bila menemui persamaan hasil scan,
Sebaiknya diketik ulang,
Kecuali yakin ukuran fontnya
bisa
(6)
disesuaikan dengan ketentuan
or,
Left indent
MASIH KELIRU
(harusnya 0,95)
(7)
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SIMULATION RESULTS
The entire system is simulated on the MATLAB-SIMULINK platform. `Fig 1 shows instantaneous stator
voltage and stator current in steady state. Its frequency, magnitude and phase is independent from the rotor
speed. In grid connected stator flux is maintained constant by grid. In stand alone mode, stator flux is keep
constant by RSC.
Fig. 6 presents rotor voltage around synchronous speed. Its magnitude, frequency and phase depend on
mechanical rotor speed.
1
Vabc stator and Iabc stator
(pu)
0.8
0.6
0.4
0.2
0
-0.2
-0.4
-0.6
-0.8
-1
1.4
1.42
1.44
1.46
time
1.48
1.5
(second)
Figure 5. Simulated instantaneous stator voltage and current voltage
CONCLUSIONS
This paper presented mathematical modelling of DFIG in VSCF power generation. For clarifying the
mathematical modelling, simulation results both in dynamic and steady state also be presented. It shown that
VSCF with DFIG provides better performance due to control flexibility. Decoupled control both rotor side
converter (GSC) and rotor side converter (RSC) enable this system will be more flexible in controlling active
reactive power. The capability of DFIG in providing power from both stator and rotor side enables optimizing
of the prime mover capacity. With a PWM converter in the rotor circuit, the rotor currents can be controlled in
a desired phase, frequency and magnitude. This enables reversible flow of active power in the rotor and the
system can operate in sub synchronous and super-synchronous speeds generating modes
Left Indent = 0
Hanging Indent = 0,93
Space before = 0 pt
REFERENCES
Space after = 6 pt
Waris, Tajuddin., and C. Nayar., 2007. “Variable Speed Power Generation with DFIG”, Proceeding of the
Australasia Power Electrical Conference (AUPEC) Perth, W.,A 2007, pp. 352-365.
Richard,G., 2005. Modelling and Real Time Simulation of a Doubly Fed Induction Generator driven by Wind
Turbine , Presented at International Transients (IPTS 05) , in Montreal Canada June 19, 2005 Klir, J.,
and Yuan, B., 2001..
ISBN : 978-979-127255-0-6
Group Teknik Elektro
TE10 - 4
Volume 6 : Desember 2012
PROSIDING 20 15©
Volume 9 : Desember 2015
Group Teknik Elektro
HASIL PENELITIAN TEKNOLOGI TERAPAN
ISBN : 978-979-127255-0-6
CATATAN
1.
Pengaturan Margin
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3.
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selanjutnya dapat dimulai lagi pada halaman GANJIL.
4.
Mohon aktifkan fitur proofing language untuk memeriksa kesalahan penulisan maupun ejaaannya.
Kami sertakan data base proofing bahasa Indonesia yang dapat digabung dengan data base proofing
default-nya MS word, English (United States)
ISBN : 978-979-127255-0-6
Group Teknik Elektro
TE10 - 6
Volume 6 : Desember 2012
PROSIDING 20 15©
Volume 9 : Desember 2015
Arsitektur
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Group Teknik Elektro
Geologi
Mesin
TE10 - 7
HASIL PENELITIAN TEKNOLOGI TERAPAN
ISBN : 978-979-127255-0-6
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